The following is a tentative syllabus for the course. This page will be updated irregularly. On the other hand, the weekly syllabus contained in the Homework assignments page will always be accurate.
| Week | Date | Chapter | Topics |
|---|---|---|---|
| 0 | Jan 4 | p.194-5 | Taylor Polynomials |
| 1 | Jan 7 | Handout | Remainder estimates | Jan 9 | 11.2 | Infinite Series, geometric series | Jan 11 | 11.8 | Power Series, ratio test and radius of convergence |
| 2 | Jan 14 | 11.9 | Functions as power series | Jan 16 | 11.10 | Taylor and Maclaurin Series | Jan 18 | TBD | Applications |
| 3 | Jan 21 | MLK day, No class | Jan 23 | 12.1-12.2 | Coordinates, distance formula, simple surfaces | Jan 25 | 12.3 | Dot products and projections I |
| 4 | Jan 28 | 12.3 | Dot products and projections II | Jan 29 | Midterm I 4:30 pm-6:30 pm | Jan 30 | 12.4 | Cross products and geometry, relation to volume and area | Feb 1 | 12.5 | Lines in different forms, planes in vector and standard forms |
| 5 | Feb 4 | 12.5 | Equations of planes in different forms |
| Feb 6 | 13.1 | Vector functions and space curves | |
| Feb 8 | 13.2-13.3 | Derivatives and integrals along curves, arc length | |
| 6 | Feb 11 | 14.1 | Functions of several variables |
| Feb 13 | 14.2 | Limits and continuity in dimension two and three | |
| Feb 15 | 14.3 | Partial derivatives | |
| 7 | Feb 18 | 14.4 | Tangent planes and normal lines |
| Feb 19 | Midterm II 4:30pm-6:30pm | ||
| Feb 20 | 14.5 | Chain rule | |
| Feb 22 | 14.6 | Gradient and directional derivatives I | |
| 8 | Feb 25 | 14.6 | Gradient and directional derivatives II |
| Feb 27 | 14.7 | Extreme values I | |
| Mar 1 | 14.7-14.8 | Extreme values II | |
| 9 | Mar 4 | 14.8 | Lagrange Multipliers I |
| Mar 6 | 14.8 | Lagrange Multipliers II | |
| Mar 10 | Final Exam 3-6 pm |